Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind

DOI10.1007/s11425-018-9338-5zbMath1415.05018OpenAlexW2897891732MaRDI QIDQ2423872

Dae San Kim, Taekyun Kim

Publication date: 20 June 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-018-9338-5

zbMATH Keywords

generalized Pascal functional matrixWronskian matrixdegenerate Bernoulli polynomialKrobov polynomial of the first kind

Mathematics Subject Classification ID

Umbral calculus (05A40) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (18)

On fully degenerate Daehee numbers and polynomials of the second kind ⋮ A note on a new type of degenerate Bernoulli numbers ⋮ A note on polyexponential and unipoly functions ⋮ Expressing sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials by several orthogonal polynomials ⋮ Certain properties and applications of the 2D Sheffer and related polynomials ⋮ CLOSED FORMS FOR DEGENERATE BERNOULLI POLYNOMIALS ⋮ A note on central Bell numbers and polynomials ⋮ On the degenerate \((h , g)\)-Changhee numbers and polynomials ⋮ A note on modified degenerate \(q\)-Daehee polynomials and numbers ⋮ A note on degenerate Bernstein polynomials ⋮ Differential equations associated with degenerate Changhee numbers of the second kind ⋮ Degenerate central Bell numbers and polynomials ⋮ Connection problem for sums of finite products of Chebyshev polynomials of the third and fourth kinds ⋮ Symmetric properties of Carlitz's type \(q\)-Changhee polynomials ⋮ A new class of Hermite-Apostol type Frobenius-Euler polynomials and its applications ⋮ Symmetry identities of Changhee polynomials of type two ⋮ Some identities of fully degenerate Bernoulli polynomials associated with degenerate Bernstein polynomials ⋮ On degenerate central complete bell polynomials

Cites Work

• A matrix approach to some identities involving Sheffer polynomial sequences
• Differential equation and recursive formulas of Sheffer polynomial sequences
• A degenerate Staudt-Clausen theorem
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
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